SAT Math Multiple Choice Practice Question 515: Answer and Explanation

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Question: 515

14. A jar contains a number of jelly beans of which 58 are red, 78 are green, and the rest are blue. If the probability of choosing a blue jelly bean from this jar at random is , how many blue jelly beans are in the jar?

A. 34
B. 56
C. 78
D. 102
E. 152

Correct Answer: A

Explanation:

A If the probability of picking a blue jelly bean is , then you know that of the beans in the jar are blue. Let's try Plugging In The Answers. If there are 78 blue jelly beans, then you would have a total of 58 + 78 + 78 = 214 beans in the jar. Is 78 equal to of 214? Nope, so C cannot be right. Let's try B. If there are 56 blue jelly beans, then you would have a total of 58 + 78 + 56 = 192 beans in the jar. Is 56 equal to of 192? Nope. So let's try A. If there are 34 blue jelly beans, then there will be a total of 58 + 78 + 34 = 170 jelly beans. Is 34 equal to of 170? Yes, so A is our answer.

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